Please help 2. The morning of a birthday party, a balloon is filled with 8.5 L of helium (He) when the temperature is

Question

Please help 2.

The morning of a birthday party, a balloon is filled with 8.5 L of helium (He) when the temperature is

294 kelvin. The party starts at 4:00 p.m., at which time, the temperature has risen to 305 kelvin. What is

the new volume of the balloon?

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Yến Oanh 3 years 2021-07-16T01:37:40+00:00 1 Answers 44 views 0

Answers ( )

  1. ngockhue
    0
    2021-07-16T01:39:21+00:00
    Reply

    Answer:

    The new volume of the balloon is 8.8 L

    Explanation:

    Charles’s Law consists of the relationship between the volume and the temperature of a certain amount of ideal gas, which is kept at a constant pressure. This law establishes that the volume is directly proportional to the temperature of the gas, that is to say that if the temperature increases, the volume of the gas increases and that on the contrary if the temperature of the gas decreases, the volume decreases.

    In other words, Charles’s law states that when the amount of gas and pressure are kept constant, the ratio between the volume and the temperature will always have the same value:

    \frac{V}{T}=k

    Having a certain volume of gas V1 that is at a temperature T1, by varying the volume of gas to a new value V2, then the temperature will change to T2, and it will be fulfilled:

    \frac{V1}{T1}=\frac{V2}{T2}

    In this case:

    • V1= 8.5 L
    • T1= 294 K
    • V2= ?
    • T2= 305 K

    Replacing:

    \frac{8.5 L}{294 K}=\frac{V2}{305 K}

    Solving:

    V2=305 K*\frac{8.5 L}{294 K}

    V2=8.8 L

    The new volume of the balloon is 8.8 L

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